JEDNOSTKA NAUKOWA KATEGORII A+

Polaroid type operators under perturbations

Tom 214 / 2013

Pietro Aiena, Elvis Aponte Studia Mathematica 214 (2013), 121-136 MSC: Primary 47A10, 47A11; Secondary 47A53. DOI: 10.4064/sm214-2-2

Streszczenie

A bounded operator $T$ defined on a Banach space is said to be polaroid if every isolated point of the spectrum is a pole of the resolvent. The “polaroid” condition is related to the conditions of being left polaroid, right polaroid, or $a$-polaroid. In this paper we explore all these conditions under commuting perturbations $K$. As a consequence, we give a general framework from which we obtain, and also extend, recent results concerning Weyl type theorems (generalized or not) for $T+K$, where $K$ is an algebraic or a quasi-nilpotent operator commuting with $T$.

Autorzy

  • Pietro AienaDipartimento di Metodi e Modelli Matematici
    Facoltà di Ingegneria
    Università degli Studi di Palermo
    I-90128 Palermo, Italy
    e-mail
  • Elvis AponteDepartamento de Matemáticas
    Facultad de Ciencias UCLA
    Barquisimeto, Venezuela
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek